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Finding the Fourth Proportional to 33,811.20, 50,716.80 and 32,198.40

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Solution

The fourth proportional to 33,811.20, 50,716.80 and 32,198.40 is: 48,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811.20 : 50,716.80 = 32,198.40 : x
  2. Step 2: Convert to fraction form
    33,811.20/50,716.80 = 32,198.40/x
  3. Step 3: Cross multiply
    33,811.20x = 50,716.80 × 32,198.40
  4. Step 4: Simplify right side
    33,811.20x = 1,632,999,813.12
  5. Step 5: Solve for x
    x = 1,632,999,813.12/33,811.20
  6. Step 6: Final answer
    x = 48,297.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.